Construction of $(\sigma ,\delta )$-cyclic codes over a non-chain ring and their applications in DNA codes

Ashutosh Singh, Priyanka Sharma, Om Prakash

For a prime $p$ and a positive integer $m$, let ${\mathbb{F}}_{p^m}$ be the finite field of characteristic $p$, and ${\mathfrak{R}}_l:={\mathbb{F}}_{p^m}[v]/⟨v^l-v⟩$ be a no…